14 citations · 58 across the 16 of their papers we have counts for
4 papers · 1 filter
Nested Grassmannians for Dimensionality Reduction with Applications
Chun-Hao Yang, Baba C. Vemuri
In the recent past, nested structures in Riemannian manifolds has been studied in the context of dimensionality reduction as an alternative to the popular principal geodesic analys…
Shrinkage Estimation of the Frechet Mean in Lie groups
Chun-Hao Yang, Baba C. Vemuri
Data in non-Euclidean spaces are commonly encountered in many fields of Science and Engineering. For instance, in Robotics, attitude sensors capture orientation which is an element…
An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of Symmetric Positive-Definite Matrices
Chun-Hao Yang, Hani Doss, Baba C. Vemuri
The James-Stein estimator is an estimator of the multivariate normal mean and dominates the maximum likelihood estimator (MLE) under squared error loss. The original work inspired…
MVC-Net: A Convolutional Neural Network Architecture for Manifold-Valued Images With Applications
Jose J. Bouza, Chun-Hao Yang, David Vaillancourt +1
Geometric deep learning has attracted significant attention in recent years, in part due to the availability of exotic data types for which traditional neural network architectures…